GCD of 54, 63, 72, 48 Calculator

Given Input numbers are 54, 63, 72, 48

In the factoring method, we have to find the divisors of all numbers

Divisors of 54 :

The positive integer divisors of 54 that completely divides 54 are.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 63 :

The positive integer divisors of 63 that completely divides 63 are.

1, 3, 7, 9, 21, 63

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

GCD of numbers is the greatest common divisor

So, the GCD (54, 63, 72, 48) = 3.

Given numbers are 54, 63, 72, 48

The list of prime factors of all numbers are

Prime factors of 54 are 2 x 3 x 3 x 3

Prime factors of 63 are 3 x 3 x 7

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

The highest common occurrence is 3¹

Therefore, GCD of 54, 63, 72, 48 is 3.

Given numbers are 54, 63, 72, 48

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(54, 63) = 378

GCD(54, 63) = ( 54 x 63 ) / 378

= 54 / 63

= 54

Step2:

LCM(9, 72) = 72

GCD(9, 72) = ( 9 x 72 ) / 72

= 9 / 72

= 9

Step3:

LCM(9, 48) = 144

GCD(9, 48) = ( 9 x 48 ) / 144

= 9 / 48

= 9

So, Greatest Common Divisor of 54, 63, 72, 48 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 10, 33, 33
• GCD of 45, 39, 52, 74
• GCD of 44, 42, 98, 14
• GCD of 32, 92, 53, 22
• GCD of 24, 45, 25, 53

Given numbers are 54, 63, 72, 48
The greatest common divisor of numbers 54, 63, 72, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 54, 63, 72, 48 is 3.

1. What is the GCD of 54, 63, 72, 48?

GCD of given numbers 54, 63, 72, 48 is 3

2. How to calculate the greatest common divisor of 54, 63, 72, 48?

We can find the highest common divisor of 54, 63, 72, 48 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 54, 63, 72, 48 i.e 3.

3. How can I use the GCD of 54, 63, 72, 48Calculator?

Out the numbers 54, 63, 72, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.